Solve 3(1-x)+2x=3(x-7)

$$3 ( 1 - x ) + 2 x = 3 ( x - 7 )$$

Solve for x

$$x=6$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 1-x.

$$3-3x+2x=3\left(x-7\right)$$

Combine -3x and 2x to get -x.

$$3-x=3\left(x-7\right)$$

Use the distributive property to multiply 3 by x-7.

$$3-x=3x-21$$

Subtract 3x from both sides.

$$3-x-3x=-21$$

Combine -x and -3x to get -4x.

$$3-4x=-21$$

Subtract 3 from both sides.

$$-4x=-21-3$$

Subtract 3 from -21 to get -24.

$$-4x=-24$$

Divide both sides by -4.

$$x=\frac{-24}{-4}$$

Divide -24 by -4 to get 6.

$$x=6$$